On July 1, a golfer hit 30 golf balls in her backyard net. On July 2, she hit
35 balls. On July 3'she hit 40 balls. She continues in this pattern until July 15,
on which she hit the last of her golf balls. What is the total balls she hit from
July 1st to July 15th?*

975

Step-by-step explanation:

There are two ways you can solve this. First, you can write down all of the numbers and add it all together.

30 35 40 45 50 55 60 65 70 75 80 85 90 95 100

Another  way to do it is to plug it into a formula.

First, you have to find the first and last number of the sequence. The problem gives you the first number (30) so you plug the number into the arithmetic sequence formula for the last one

a{n}=a{1}+(n-1)d

an is the term you are looking for in the sequence

a1 is the first term in the sequence

d is the difference between the terms

a15=30+(15-1)5

a15=100

The first and last number are 30 and 100

Plug it into the formula

Sn=n((a1+an)/2)

Sn is going to be the total sum

n is the number of terms

a1 is the first term

an is the last term

Sn = 15((30+100)/2)

Sn=15*65

Sn= 975

answer: sine

step-by-step explanation:

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.